Answer:
- 40, - 50, - 60
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence.
- 20 - (- 10) = - 20 + 10 = - 10
- 30 - (- 20) = - 30 + 20 = - 10
Thus the difference d = - 10
To obtain a term in the sequence subtract 10 from the previous term
- 30 - 10 = - 40
- 40 - 10 = - 50
- 50 - 10 = - 60
The next 3 terms are - 40, - 50, - 60
Volume of a sphere is given by the formula:
If we pull the 4 out front we have,
.
Volume of a cone is given by the formula:
Notice that if the height of the cone is equal to the radius,
then it's exactly what we see in our volume formula without the 4!
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
Answer:
(4,2), there is already a 4 in x value
Step-by-step explanation:
It's the same as finding the hypothenuse of a right triangle. Let c be the hypothenuse.
30 squared+ 50 squared= c squared.
900+ 2500= c squared
3400= c squared
Then find the square root of 3400 and that will equal c.
So, depending in what form the teacher was the answer. The answer will be square root of 3400 ft squared or 58.3 ft squared.
